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Finding the Fourth Proportional to 396,706,233.60, 595,059,350.40 and 287,016,811.20

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Solution

The fourth proportional to 396,706,233.60, 595,059,350.40 and 287,016,811.20 is: 430,525,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,706,233.60 : 595,059,350.40 = 287,016,811.20 : x
  2. Step 2: Convert to fraction form
    396,706,233.60/595,059,350.40 = 287,016,811.20/x
  3. Step 3: Cross multiply
    396,706,233.60x = 595,059,350.40 × 287,016,811.20
  4. Step 4: Simplify right side
    396,706,233.60x = 170,792,037,226,551,424
  5. Step 5: Solve for x
    x = 170,792,037,226,551,424/396,706,233.60
  6. Step 6: Final answer
    x = 430,525,216.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.